The arithmetic topology of genetic alignments.
J Math Biol
; 86(3): 34, 2023 01 25.
Article
in English
| MEDLINE | ID: covidwho-2227957
ABSTRACT
We propose a novel mathematical paradigm for the study of genetic variation in sequence alignments. This framework originates from extending the notion of pairwise relations, upon which current analysis is based on, to k-ary dissimilarity. This dissimilarity naturally leads to a generalization of simplicial complexes by endowing simplices with weights, compatible with the boundary operator. We introduce the notion of k-stances and dissimilarity complex, the former encapsulating arithmetic as well as topological structure expressing these k-ary relations. We study basic mathematical properties of dissimilarity complexes and show how this approach captures watershed moments of viral dynamics in the context of SARS-CoV-2 and H1N1 flu genomic data.
Keywords
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Main subject:
Influenza A Virus, H1N1 Subtype
/
COVID-19
Limits:
Humans
Language:
English
Journal:
J Math Biol
Year:
2023
Document Type:
Article
Affiliation country:
S00285-023-01868-x
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